Computational Technology Resources - CCP

R. Deiterding¹ and M.O. Domingues²

¹Aerodynamics and Flight Mechanics Research Group, University of Southampton, Southampton, United Kingdom
²INPE - National Institute For Space Research, LAC/CTE, Sao Jose dos Campos, Brazil

doi:10.4203/ccp.111.45

purchase the full-text of this paper

R. Deiterding, M.O. Domingues, "Evaluation of Multiresolution Mesh Adaptation Criteria in the AMROC Framework", in , (Editors), "Proceedings of the Fifth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 45, 2017. doi:10.4203/ccp.111.45

Keywords: block-structured parallel adaptive mesh refinement, adaptation criteria, multiresolution analysis, wavelets, Euler equations, AMROC.

Summary

In this paper we present recent results on the use of wavelet-based mesh adaptation criteria. The technique has been incorporated into the structured adaptive mesh refinement (SAMR) algorithms implemented in the AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework. With this tool we can compute locally the wavelet coefficients by means of a two-level wavelet transform. The amplitude of these coefficients can be related to the local regularity of the solution, and consequently they can be used as a powerful local refinement indicator. Here, we verify that the cellaveraged multiresolution method, that is a mathematically more rigorous approach than the popular scaled gradient or the heuristic error estimation by Richardson extrapolation, generally leads to sparser mesh adaptation for commensurate or even smaller numerical errors than the criteria traditionally used in SAMR. Numerical experiments of classical advection and Riemann problems for inviscid gas dynamics are employed to highlight the abilities and features of the new approach.

purchase the full-text of this paper (price £22)

go to the previous paper
return to the table of contents
return to the book description
purchase this book (price £45 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 111 PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING Edited by: Paper 45 Evaluation of Multiresolution Mesh Adaptation Criteria in the AMROC Framework R. Deiterding¹ and M.O. Domingues² ¹Aerodynamics and Flight Mechanics Research Group, University of Southampton, Southampton, United Kingdom ²INPE - National Institute For Space Research, LAC/CTE, Sao Jose dos Campos, Brazil doi:10.4203/ccp.111.45 purchase the full-text of this paper Full Bibliographic Reference for this paper R. Deiterding, M.O. Domingues, "Evaluation of Multiresolution Mesh Adaptation Criteria in the AMROC Framework", in , (Editors), "Proceedings of the Fifth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 45, 2017. doi:10.4203/ccp.111.45 Keywords: block-structured parallel adaptive mesh refinement, adaptation criteria, multiresolution analysis, wavelets, Euler equations, AMROC. Summary In this paper we present recent results on the use of wavelet-based mesh adaptation criteria. The technique has been incorporated into the structured adaptive mesh refinement (SAMR) algorithms implemented in the AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework. With this tool we can compute locally the wavelet coefficients by means of a two-level wavelet transform. The amplitude of these coefficients can be related to the local regularity of the solution, and consequently they can be used as a powerful local refinement indicator. Here, we verify that the cellaveraged multiresolution method, that is a mathematically more rigorous approach than the popular scaled gradient or the heuristic error estimation by Richardson extrapolation, generally leads to sparser mesh adaptation for commensurate or even smaller numerical errors than the criteria traditionally used in SAMR. Numerical experiments of classical advection and Riemann problems for inviscid gas dynamics are employed to highlight the abilities and features of the new approach. purchase the full-text of this paper (price £22) go to the previous paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions